Pure Mathematics

Its all about pure mathematics.

Dear readers, Below is series of quite informative you tube lectures by Derek Owens on the "infinitesimals".

Read MoreDear readers, Below is an elementary youtube lecture on Equivalence relation and partition.

Read MoreDear readers, Below are some links that may provide motivation to study "Abstract Algebra". . Why do we need to study abstract algebra? What are some real-life applications of abstract algebra? Reasons why Abstract Algebra is valuable to math ed majors (and math majors).

Read MoreDear readers, The below is a link of a series of you tube lectures given by Dr Tadashi Tokieda on Topology & Geometry for the people who think topology/Geometry is a difficult subject. I bet you will really change your mind after watching these lectures. Topology & Geometry Video Lectures

Read MoreDear readers I am sharing a good you tube link by Ben Garside teaching what it is meant by a subspace of a metric space. subspace of a metric space.

Read MoreDear readers, here is shared a link to Riemann Lebesgue Theorem based on the book An Introduction to Analysis, Second Edition, by James R. Kirkwood, Boston: PWS Publishing (1995).

Read MoreDear readers, I am posting a link found via Google about the Closure of a Linear Operator. The author characterises the existence of the closure of a linear operator. The proof of the characterization is clear, if some one is unclear about the proof, he/she can discuss me. Closure of a Linear Operator

Read MoreDear readers, here is a link for visualizing Linear Algebra: visualizing linear algebra with maple.

Read MoreDear readers, I am posting a very rare link for video lectures on Mathematical Analysis II. It contains almost all the topics found in standard undergraduate texts in Mathematical Analysis II. For rest of the lectures click Here

Read MoreBelow is link for video lectures in Modern Analysis I or Real Analysis I. It contains almost all the topics found in standard undergraduate texts in Mathematical Analysis I. For rest of the lectures click Here

Read MoreDear readers, I am posting a very rare link for video lectures on Complex Analysis. It contains almost all the topics found in standard undergraduate texts in Complex Analysis. For rest of the lectures click Here

Read MoreDear readers, I am posting a very rare link for video lectures in partial differential equation. It contains almost all the topics found in standard texts in partial differential equations. For rest of the lectures click Here

Read MoreI am posting a link on "Video Lectures in Fourier Transform and its Applications". Click the link below to view the lectures.

Read MoreI am posting a link on Video Lectures in Differential Equations at MIT.

Read MoreThe link below contains video lectures in Representation Theory. Link

Read MoreBelow is a link for a very good video about Permutations and Combinations.

Read MoreRead the article.......The Use of the Linear Algebra by Web Search Engines

Read MoreThe proof is given using successor function S defined in the Peano axioms. The proof of these two facts are given in 2.1 and 2.2 for the addition and multiplication case respectively in the link below.... http://en.wikipedia.org/wiki/Peano_axioms#Addition

Read MoreFor the proof for addition case click below..... http://www.proofwiki.org/wiki/Natural_Number_Addition_is_Commutative For the proof for addition case click below........ http://www.proofwiki.org/wiki/Natural_Number_Multiplication_is_Commutative

Read MoreFor the proof click on the link below.... http://www.proofwiki.org/wiki/Natural_Number_Multiplication_is_Associative/Proof_2

Read MoreFor the proof click on the link below.... http://www.proofwiki.org/wiki/Natural_Number_Addition_is_Associative/Proof_2

Read MoreSnuggleTeX (1.2.2) is a very useful software to import latex into maple. http://www2.ph.ed.ac.uk/snuggletex/UpConversionDemo

Read MoreDear readers, I am writing this post on a question put by my student. Download the solution for details. Solution

Read MoreDear readers I am posting a link that contains video lectures in Algebraic Topology. link

Read MoreThe link below contains video Lectures on Finite Element Method. To see the lectures Click

Read MoreOn Teaching Mathematics is a provocative article by Vladimir Arnold.

Read MoreTo write mathematics in your gmail account use GmailTeX. I have checked that it efficiently works in Google Chrome. To download GmailTex Click

Read MoreFor Video Click below Finite Simple Group (of Order Two) The path of love is never smooth But mine’s continuous for you You’re the upper bound in the chains of my heart You’re my Axiom of Choice, you know it’s true But lately our relation’s not so well-defined And I just can’t function without you

Read MoreTo see the proof Click

Read MoreTo see the proof Click

Read MoreLibrary.nu which was first known as gigapedia.org is a best treatise of free books in mathematics. to see this website Click

Read MoreA subgroup of a group is called characteristic in , denoted char , if every automorphism of maps to itself, i.e., for all . Results concerning characteristic subgroups which we shall use later (and whose proofs are relegated to the exercises) are (1) characteristic subgroups are normal, (2) if is the unique subgroup of of a given

Read MorePlus is an internet magazine which aims to introduce readers to the beauty and the practical applications of mathematics. A lot of people don't have a very clear idea what "real" maths consists of....... Read more

Read MoreIn the link below there are given 32 hours video lectures in Partial Differential Equations. Click If you are not able to view these files, then download Quick Player

Read MoreIn the link below find the definition and basic properties of characteristic of a ring. Click

Read MoreIn the link below it is given a very nice proof the fact that: The characteristic of an integral domain is 0 or prime. For proof Click

Read MoreIn the link below, the center of Dihedral group D_n for any positive integer n is computed. It is proved that the Center of , if n is odd & Center of , if n is even For proof click

Read MoreThe link below contains video lectures in Abstract Algebra. Click

Read MoreIn the link below there is very nice proof of the fact that "The group of order 4 is abelian" Click

Read MoreI have uploaded few lectures of Algebra (Group Theory). download

Read MoreHello, freescienceonline.blogspot.com is a best online website for free downloadable video lectures in Mathematics

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